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Finding the Third Proportional to 112,863 and 252,462

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Solution

The third proportional to 112,863 and 252,462 is: 564,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,863 : 252,462 = 252,462 : x
  2. Step 2: Convert to fraction form
    112,863/252,462 = 252,462/x
  3. Step 3: Cross multiply
    112,863x = 252,462 × 252,462
  4. Step 4: Simplify right side
    112,863x = 63,737,061,444
  5. Step 5: Solve for x
    x = 63,737,061,444/112,863
  6. Step 6: Final answer
    x = 564,729.46

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.